three-dimensional space?

Question

Which statement is true of every plane in three-dimensional space?

A.Every plane must have three intercepts.

B.Every plane must have at least two intercepts.

C.A plane can have only one intercept.

D.A plane can have no intercepts.

Answer 1

"C" is the only one that makes sense.

a) The plane z = 3 for example doesn't touch the x or y axis, so it only has one intercept.
b) See above
c) Yes, it's possible for a plane to have one and only one intercept. See above.
d) This isn't true, because for example if a plane doesn't touch the x or y axis, then it must be parallel to z=0. You can't have a plane line that that doesn't touch the Z axis either.

Answer 2

The answer is not B. It's C. A plane which lies parallel any pair of axes will have exactly one intercept on the remaining axis.

Actually, the question is badly formed because it asks which statement is true of every plane in three space. C isn't even a statement about every plane in three space.

Answer 3

My understanding is that a plane is 2dimensional, so it must have at least 1 intercept. in a 3 dimensional world, everything has 3 intercepts X, Y, Z. but
A plane can be on only 1 axis.

So the answer is C

Answer 4

D) Parallel planes are such that they can have no intercepts.

It is not true that a plane -must- have an intercept, as in the case of parallel planes.

Answer 5

As a hyperdimensional timeline it may seem greater like a cosmic string and you does no longer see it however the area around it may be distorted. The wormhole could only be the place 2 diverse sheets of spacetime intersect. that's no a lot going "via" a wormhole because it sliding alongside the place the worldlines meet, pinching the cloth of area into form of a möbius loop, the place the backside is a locale in area clean on the different area of the universe.

Answer 6

A false
Bfalse
C true
D false

Answer 7

B